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Finding the Fourth Proportional to 76,503.56, 113,986.42 and 72,206.28

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Solution

The fourth proportional to 76,503.56, 113,986.42 and 72,206.28 is: 107,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,503.56 : 113,986.42 = 72,206.28 : x
  2. Step 2: Convert to fraction form
    76,503.56/113,986.42 = 72,206.28/x
  3. Step 3: Cross multiply
    76,503.56x = 113,986.42 × 72,206.28
  4. Step 4: Simplify right side
    76,503.56x = 8,230,535,358.72
  5. Step 5: Solve for x
    x = 8,230,535,358.72/76,503.56
  6. Step 6: Final answer
    x = 107,583.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.